141431030400 has 384 divisors, whose sum is σ = 513160727040. Its totient is φ = 33950822400.

The previous prime is 141431030399. The next prime is 141431030537. The reversal of 141431030400 is 4030134141.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10870299 + ... + 10883301.

It is an arithmetic number, because the mean of its divisors is an integer number (1336356060).

Almost surely, 2^141431030400 is an apocalyptic number.

141431030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141431030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256580363520).

141431030400 is an abundant number, since it is smaller than the sum of its proper divisors (371729696640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141431030400 is a wasteful number, since it uses less digits than its factorization.

141431030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 141431030400 its reverse (4030134141), we get a palindrome (145461164541).

The spelling of 141431030400 in words is "one hundred forty-one billion, four hundred thirty-one million, thirty thousand, four hundred".